Class †Placodermi McCoy, 1848
   Order †Arthrodira Woodward, 1891 see [unranked] Arthrodira Woodward, 1891
     Suborder †Brachythoraci Gross, 1932
       †"Migmatocephala"
         1 Genus †Taemasosteus White, 1952
         2.1 Genus †Tityosteus Gross, 1960
         2.2.1 Genus †Antineosteus Lelièvre, 1984
         2.2.2 Family †Homostiidae Eastman, 1907